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Hypergeometric Functions
HypergeometricPFQ[{a1,a2,a3},{b1,b2},z]
Specific values
For integer and half-integer parameters and fixed z
For fixed z and a1=7/2, a2>=7/2
For fixed z and a1=7/2, a2=4, a3>=4
For fixed z and a1=7/2, a2=4, a3=4
For fixed z and a1=7/2, a2=4, a3=4, b1=-5/2
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http://functions.wolfram.com/07.27.03.avbo.01
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HypergeometricPFQ[{7/2, 4, 4}, {-(5/2), 3/2}, -z] ==
(1/(3840 (1 + z)^12)) (3840 + 103424 z + 1801728 z^2 + 47391744 z^3 -
532861560 z^4 + 1068223400 z^5 - 601476363 z^6 + 91770064 z^7 -
2454148 z^8) + (3003 z^(7/2) (-3432 + 17160 z - 21905 z^2 + 8570 z^3 -
920 z^4 + 16 z^5) ArcSinh[Sqrt[z]])/(256 Sqrt[1 + z]
(1 + 12 z + 66 z^2 + 220 z^3 + 495 z^4 + 792 z^5 + 924 z^6 + 792 z^7 +
495 z^8 + 220 z^9 + 66 z^10 + 12 z^11 + z^12))
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HypergeometricPFQ[{},{},z] | HypergeometricPFQ[{},{b},z] | HypergeometricPFQ[{a},{},z] | HypergeometricPFQ[{a},{b},z] | HypergeometricPFQ[{a1},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1},z] | HypergeometricPFQ[{a1,a2},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] | HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] | |
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